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Finding the Fourth Proportional to 1,342.90, 1,852.23 and 900.64

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Solution

The fourth proportional to 1,342.90, 1,852.23 and 900.64 is: 1,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.90 : 1,852.23 = 900.64 : x
  2. Step 2: Convert to fraction form
    1,342.90/1,852.23 = 900.64/x
  3. Step 3: Cross multiply
    1,342.90x = 1,852.23 × 900.64
  4. Step 4: Simplify right side
    1,342.90x = 1,668,192.43
  5. Step 5: Solve for x
    x = 1,668,192.43/1,342.90
  6. Step 6: Final answer
    x = 1,242.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.